Second order Mond-Weir type duality for multiobjective programming involving Second order (C, α, ρ, d)-convexity

被引：0

作者：

Wang, Sichun ^{[1
]}

机构：

[1] Hunan Univ Commerce, Sch Comp & Informat Engn, Changsha 410205, Hunan, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2013年 / 15卷 / 07期

基金：

国家教育部科学基金资助;

关键词：

Multiobjective programming; Second order duality; Efficient; (C; alpha; rho; d)-convexity; OPTIMALITY CONDITIONS; SYMMETRIC DUALITY; SUFFICIENCY; (F;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we introduce a class of second order (C, alpha, rho, d)-convexity. Under the (C, alpha, rho, d)-convexity assumptions on the functions involved, weak, strong and strict converse duality theorems are established for a second order Mond-Weir type multiobjective dual. Our results generalize these existing dual results which were discussed by Ahmad et al [Second-order (F, alpha, rho, d)-convexity and duality in multiobjective programming, Information Science, 176(2006)3094-3103].

引用

页码：1223 / 1230

页数：8

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